Theorems · Theorem · general topology

SemicontinuousWithinAt.mono

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] {r : α → β → Prop} {x : α} {s t : Set α},
  SemicontinuousWithinAt r s x → t ⊆ s → SemicontinuousWithinAt r t x

Defined in

Mathlib.Topology.Semicontinuity.Defs

Cited by

5 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Quot.sound

Assumes

TopologicalSpace